What is the Greatest Common Factor of 43470 and 43482?

Greatest common factor (GCF) of 43470 and 43482 is 6.

GCF(43470,43482) = 6

We will now calculate the prime factors of 43470 and 43482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43470 and 43482.

How to find the GCF of 43470 and 43482?

We will first find the prime factorization of 43470 and 43482. After we will calculate the factors of 43470 and 43482 and find the biggest common factor number .

Step-1: Prime Factorization of 43470

Prime factors of 43470 are 2, 3, 5, 7, 23. Prime factorization of 43470 in exponential form is:

43470 = 2¹ × 3³ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 43482

Prime factors of 43482 are 2, 3, 7247. Prime factorization of 43482 in exponential form is:

43482 = 2¹ × 3¹ × 7247¹

Step-3: Factors of 43470

List of positive integer factors of 43470 that divides 43470 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 23, 27, 30, 35, 42, 45, 46, 54, 63, 69, 70, 90, 105, 115, 126, 135, 138, 161, 189, 207, 210, 230, 270, 315, 322, 345, 378, 414, 483, 621, 630, 690, 805, 945, 966, 1035, 1242, 1449, 1610, 1890, 2070, 2415, 2898, 3105, 4347, 4830, 6210, 7245, 8694, 14490, 21735

Step-4: Factors of 43482

List of positive integer factors of 43482 that divides 43470 without a remainder.

1, 2, 3, 6, 7247, 14494, 21741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43470 and 43482. The biggest common factor number is the GCF number.
So the greatest common factor 43470 and 43482 is 6.

Also check out the Least Common Multiple of 43470 and 43482